Finding the Third Proportional to 22,536 and 33,673.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,536 : 33,673.50 = 33,673.50 : x
2. Step 2: Convert to fraction form
   22,536/33,673.50 = 33,673.50/x
3. Step 3: Cross multiply
   22,536x = 33,673.50 × 33,673.50
4. Step 4: Simplify right side
   22,536x = 1,133,904,602.25
5. Step 5: Solve for x
   x = 1,133,904,602.25/22,536
6. Step 6: Final answer
   x = 50,315.26